The reaction A → B is a second order process when the initial con…

MCQ

The reaction A → B is a second order process when the initial concentration of A is 0.50 M, the half life is 8.0 minutes. What is the half life if the initial concentration of A is 0.10 M?

✓
40.0 minutes
B
1.6 minutes
C
8.0 minutes
D
16.0 minutes

✓

Answer

Correct option: A.

40.0 minutes

(a) 40.0 minutes
Explanation: For second-order reaction:
$
t_{1 / 2}=\frac{2 k}{[R]} \Rightarrow k=\frac{t_{1 / 2}[R]}{2}
$
Applying this equation,
$
\begin{array}{l}
\frac{t_{1 / 2}[R]}{2}=\frac{t_{1_{1 / 2}}\left[R^{\prime}\right]}{2} \\
\frac{8.0 \times 0.50}{2}=\frac{t_{1 / 2}^{\prime} \times 0.10}{2} \\
t_{1 / 2}^{\prime}=\frac{8 \times 0.50}{0.10}=40
\end{array}
$

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